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Math Asked by a SnapAndSolve user · about 2 hours ago

For each function, evaluate: 1. a. f(-2) ______ b. f(4) ______ c. f(2) ______ d. f(0) ______ 2. a. f(-2)...

For each function, evaluate:
1.
a. f(-2) ______
b. f(4) ______
c. f(2) ______
d. f(0) ______
2.
a. f(-2) ______
b. f(4) ______
c. f(2) ______
d. f(0) ______
3.
a. f(-2) ______
b. f(4) ______
c. f(2) ______
d. f(0) ______
Given f(x) = 1/2x - 3, and h(x) = x^2 - 2x + 3, algebraically evaluate each of the following:
4. f(-4) = ______
5. h(-3) = ______
6. h(2) = ______
Given f(x) = 3x - 5, and g(x) = -4x + 3, algebraically determine x for each of the following:
7. f(x) = 4
8. g(x) = -17
9. g(x) = 23

Answer

  1. Without the graph data, these cannot be evaluated.

  2. Without the graph data, these cannot be evaluated.

  3. Without the graph data, these cannot be evaluated.

  4. f(-4): Substitute -4 into f(x) = 1/2x - 3.
    f(-4) = 1/2(-4) - 3 = -2 - 3 = -5

  5. h(-3): Substitute -3 into h(x) = x^2 - 2x + 3.
    h(-3) = (-3)^2 - 2(-3) + 3 = 9 + 6 + 3 = 18

  6. h(2): Substitute 2 into h(x) = x^2 - 2x + 3.
    h(2) = (2)^2 - 2(2) + 3 = 4 - 4 + 3 = 3

  7. f(x) = 4: Solve 3x - 5 = 4.
    3x - 5 = 4
    3x = 9
    x = 3

  8. g(x) = -17: Solve -4x + 3 = -17.
    -4x + 3 = -17
    -4x = -20
    x = 5

  9. g(x) = 23: Solve -4x + 3 = 23.
    -4x + 3 = 23
    -4x = 20
    x = -5

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